Least Common Multiple (LCM) of 156 and 130
The least common multiple (LCM) of 156 and 130 is 780.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 156 and 130?
First, calculate the GCD of 156 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 130 = 1 remainder 26 |
| 2 | 130 ÷ 26 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 51 | 2754 |
| 29 and 145 | 145 |
| 131 and 101 | 13231 |
| 112 and 65 | 7280 |
| 108 and 32 | 864 |